SOLUTION: Testing: H0:p = 0.71 H1:p < 0.71 Your sample consists of 100 subjects, with 76 successes. Calculate the test statistic, rounded to 2 decimal places

Algebra ->  Probability-and-statistics -> SOLUTION: Testing: H0:p = 0.71 H1:p < 0.71 Your sample consists of 100 subjects, with 76 successes. Calculate the test statistic, rounded to 2 decimal places      Log On


   

Question 1181011: Testing:
H0:p = 0.71
H1:p < 0.71
Your sample consists of 100 subjects, with 76 successes. Calculate the test statistic, rounded to 2 decimal places
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = number of successes = 76
n = number of subjects = sample size = 100

p = hypothesized population proportion
p = 0.71
phat = sample proportion
phat = x/n
phat = 76/100
phat = 0.76

SE = standard error
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.71*(1-0.71)/100)
SE = 0.04537620521816
The value is approximate.

z = test statistic
z = (phat - p)/SE
z = (0.76 - 0.71)/0.04537620521816
z = 0.05/0.04537620521816
z = 1.101899106803
z = 1.10

Answer: z = 1.10